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Simplifying 8c + -61 = 6c + -41 Reorder the terms: -61 + 8c = 6c + -41 Reorder the terms: -61 + 8c = -41 + 6c Solving -61 + 8c = -41 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -61 + 8c + -6c = -41 + 6c + -6c Combine like terms: 8c + -6c = 2c -61 + 2c = -41 + 6c + -6c Combine like terms: 6c + -6c = 0 -61 + 2c = -41 + 0 -61 + 2c = -41 Add '61' to each side of the equation. -61 + 61 + 2c = -41 + 61 Combine like terms: -61 + 61 = 0 0 + 2c = -41 + 61 2c = -41 + 61 Combine like terms: -41 + 61 = 20 2c = 20 Divide each side by '2'. c = 10 Simplifying c = 10
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